What two numbers have a GCF of 917?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 917.

There is actually an infinite number of answers to this question. First, note that both the numbers we are looking for must be multiples of 917. Below is the beginning list of multiples of 917 (1 through 7) in numerical order.

1. 917
2. 1834
3. 2751
4. 3668
5. 4585
6. 5502
7. 6419
etc...

Two numbers that have a GCF of 917 can be 917 and any other number on the list above. Thus, two numbers that have a GCF of 917 are:

917 & 1834
917 & 2751
917 & 3668
etc...

That is not all! Any combination of any multiple of 917 and "odd" multiples of 917 will also have GCF of 917. We numbered the multiples above so it would be easy to identify the "odd" multiples (number 1, 3, 5, 7, etc). Thus, here are some more examples of two numbers that also have a GCF of 917.

1834 & 2751
1834 & 4585
3668 & 4585
3668 & 6419
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 917. The lists we created can go on forever.

Two numbers have a GCF of Calculator
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Teacher Tip: If you are a teacher, you could ask these questions of your students: "I am thinking of two numbers and the GCF is 917, what are the numbers?" or "What are two numbers whose GCF is 917?"

What two numbers have a GCF of 918?
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